When you take over a task, take over the worry attached to remembering it too.

Handing over a task and handing over responsibility for it are different things, and only the first usually happens. The other person still checks, still reminds, still holds a corner of it in their head, which is most of what made the job tiring in the first place. Half a handover can be heavier than none.

If you take something on, tell the other person you will manage the timing and then prove it once. Do not need reminding. If you are the one letting go, say clearly that you are handing over the remembering as well.